Correlation functions for the detection of Wigner molecules in a one-channel Luttinger liquid quantum dot
arXiv:1503.06965 · doi:10.1209/0295-5075/107/47010
Abstract
In one-channel, finite-size Luttinger one-dimensional quantum dots, both Friedel oscillations and Wigner correlations induce oscillations in the electron density with the same wavelength, pinned at the same position. Therefore, observing such a property does not provide any hint about the formation of a Wigner molecule when electrons interact strongly and other tools must be employed to assess the formation of such correlated states. We compare here the behavior of three different correlation functions and demonstrate that the integrated two point correlation function, which represents the probability density of finding two particles at a given distance, is the only faithful estimator for the formation of a correlated Wigner molecule.
6 pages, 5 figures
References in corpus (14)
- Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
- Quantum Spin Hall Insulator State in HgTe Quantum Wells
- Controlling Luttinger liquid physics in spin ladders under a magnetic field
- Density functional theory in one-dimension for contact-interacting fermions
- Tunneling between helical edge states through extended contacts
- Coulomb versus spin-orbit interaction in few-electron carbon-nanotube quantum dots
- AFM probe for the signatures of Wigner correlations in the conductance of a one-dimensional quantum dot
- Correlated electrons in optically-tunable quantum dots: Building an electron dimer molecule
- Asymmetric Zero-Bias Anomaly for Strongly Interacting Electrons in One Dimension
- Bosonization of strongly interacting electrons
- Signatures of Wigner Localization in Epitaxially Grown Nanowires
- Absence of Wigner molecules in one-dimensional few-fermion systems with short-range interactions
- 2kF-Friedel to 4kF-Wigner oscillations in one-dimensional Fermi gases under confinement
- Non-linear Coulomb blockade microscopy of a correlated one-dimensional quantum dot